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Finding the Fourth Proportional to 3,538.22, 5,305.16 and 3,080.30

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Solution

The fourth proportional to 3,538.22, 5,305.16 and 3,080.30 is: 4,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.22 : 5,305.16 = 3,080.30 : x
  2. Step 2: Convert to fraction form
    3,538.22/5,305.16 = 3,080.30/x
  3. Step 3: Cross multiply
    3,538.22x = 5,305.16 × 3,080.30
  4. Step 4: Simplify right side
    3,538.22x = 16,341,484.35
  5. Step 5: Solve for x
    x = 16,341,484.35/3,538.22
  6. Step 6: Final answer
    x = 4,618.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.